ABSTRACT
We study iterated matching of soulmates [IMS], a recursive process of forming coalitions that are mutually preferred by members to any other coalition containing individuals as yet unmatched by this process. If all players can be matched this way, preferences are IMS-complete. A mechanism is a soulmate mechanism if it allows the formation of all soulmate coalitions. Our model follows Banerjee, Konishi and Sönmez (2001), except reported preferences are strategic variables. We investigate the incentive and stability properties of soulmate mechanisms. In contrast to prior literature, we do not impose conditions that ensure IMS-completeness. A fundamental result is that, (1) any group of players who could change their reported preferences and mutually benefit does not contain any players who were matched as soulmates and reported their preferences truthfully. As corollaries, (2) for any IMS-complete profile, soulmate mechanisms have a truthful strong Nash equilibrium, and (3) as long as all players matched as soulmates report their preferences truthfully, there is no incentive for any to deviate. Moreover, (4) soulmate coalitions are invariant core coalitions - that is, any soulmate coalition will be a coalition in every outcome in the core. To accompany our theoretical results, we present real-world data analysis and simulations that highlight the prevalence of situations in which many, but not all, players can be matched as soulmates. In an Appendix we relate IMS to other well-known coalition formation processes.
ABSTRACT
Purpose To determine whether the delayed recovery often observed in simple musculoskeletal injuries occurring at work is related to poor workplace and home social support. Method A four question psychosocial screening tool called the "How are you coping gauge?" (HCG) was developed. This tool was implemented as part of the initial assessment for all new musculoskeletal workplace injuries. Participants were excluded if they did not meet the strict criteria used to classify a musculoskeletal injury as simple. The HCG score was then compared to the participant's number of days until return to full capacity (DTFC). It was hypothesised that those workers indicating a poorer level of workplace and home support would take longer time to return to full capacity. Results A sample of 254 participants (316 excluded) were included in analysis. Significant correlation (p < 0.001) was observed between HCG scores for self-reported work and home support and DTFC thereby confirming the hypothesis. Path analysis found workplace support to be a significant moderate-to-strong predictor of DTFC (-0.46). Conclusion A correlation was observed between delayed workplace injury recovery and poor perceived workplace social support. The HCG may be an effective tool for identifying these factors in musculoskeletal workplace injuries of a minor pathophysiological nature. There may be merit in tailoring injury rehabilitation towards addressing psychosocial factors early in the injury recovery process to assist with a more expedient return to full work capacity following simple acute musculoskeletal injury.
